2010/11/23 by Arko Bose, Bose, Arko
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Radioactive Decay and Measurement Techniques
paper · pdf · doi:10.48550/arxiv.1011.5234
openalex publication_date 2010/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The suspicion that the existence of a minimal uncertainty in position measurements violates Lorentz invariance seems unfounded. It is shown that the existence of such a nonzero minimal uncertainty in position is not only consistent with Lorentz invariance, but that the latter also fixes the algebra between position and momentum which gives rise to this minimal uncertainty. We also investigate how this algebra affects the underlying quantum mechanical structure, and why, at the Planck scale, space can no longer be considered homogeneous.